Welcome to TRS
Water inlet housing?
The thermostat housing has the upper radiator hose attached, water flows out of that hose and into the radiator
Water comes back in from lower radiator hose into the water pump
There is also a heater hose attached to the thermostat housing, water flows out of that to the heater(by-pass valve), after water goes thru heater core it comes back into water pump
The thermostat housings on the 4.0l SOHC engine(2002 Ranger) are notorious for cracking and leaking, but usually not a new one
Best way to find a coolant leak, if you can't find/see it by inspection, is with a cooling system pressure tester, you can rent these
Its basically a solid fit radiator cap with a hand pump and a pressure gauge attached to it
When engine is COLD you remove cap, top up coolant/water
Install the pressure cap, and pump the pressure up to 20psi, system normally runs at 16psi
Then you watch pressure, it will start to drop if there is a leak
Then you start looking for the leak, with a cold engine is much much easier to see coolant dripping on the ground or pooling up somewhere